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Finding the Fourth Proportional to 69,504, 104,275.20 and 20,256

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Solution

The fourth proportional to 69,504, 104,275.20 and 20,256 is: 30,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,504 : 104,275.20 = 20,256 : x
  2. Step 2: Convert to fraction form
    69,504/104,275.20 = 20,256/x
  3. Step 3: Cross multiply
    69,504x = 104,275.20 × 20,256
  4. Step 4: Simplify right side
    69,504x = 2,112,198,451.20
  5. Step 5: Solve for x
    x = 2,112,198,451.20/69,504
  6. Step 6: Final answer
    x = 30,389.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.